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Finding the Fourth Proportional to 1,124.55, 1,686.29 and 686.07

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Solution

The fourth proportional to 1,124.55, 1,686.29 and 686.07 is: 1,028.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.55 : 1,686.29 = 686.07 : x
  2. Step 2: Convert to fraction form
    1,124.55/1,686.29 = 686.07/x
  3. Step 3: Cross multiply
    1,124.55x = 1,686.29 × 686.07
  4. Step 4: Simplify right side
    1,124.55x = 1,156,909.55
  5. Step 5: Solve for x
    x = 1,156,909.55/1,124.55
  6. Step 6: Final answer
    x = 1,028.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.